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2121852831 = 37229497737
BaseRepresentation
bin111111001111000…
…1110011110011111
312110212122021212220
41332132032132133
513321143242311
6550314400423
7103403310600
oct17636163637
95425567786
102121852831
1199980448a
124b2730113
1327a79c727
14161b37da7
15c6432206
hex7e78e79f

2121852831 has 24 divisors (see below), whose sum is σ = 3404527920. Its totient is φ = 1170675072.

The previous prime is 2121852809. The next prime is 2121852851. The reversal of 2121852831 is 1382581212.

It is not a de Polignac number, because 2121852831 - 26 = 2121852767 is a prime.

It is a super-2 number, since 2×21218528312 = 9004518872845429122, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2121852792 and 2121852801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121852851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244606 + ... + 253131.

It is an arithmetic number, because the mean of its divisors is an integer number (141855330).

Almost surely, 22121852831 is an apocalyptic number.

2121852831 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2121852831 is a deficient number, since it is larger than the sum of its proper divisors (1282675089).

2121852831 is a wasteful number, since it uses less digits than its factorization.

2121852831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497783 (or 497776 counting only the distinct ones).

The product of its digits is 7680, while the sum is 33.

The square root of 2121852831 is about 46063.5737975247. The cubic root of 2121852831 is about 1285.0057948635.

The spelling of 2121852831 in words is "two billion, one hundred twenty-one million, eight hundred fifty-two thousand, eight hundred thirty-one".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 4263 497737 1493211 3484159 10452477 14434373 24389113 43303119 73167339 101040611 303121833 707284277 2121852831